What is the answer to (10)/(2q+8)=10 ?

The answer to (10)/(2q+8)=10 is q=-7/2

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(10)/(2q+8)=10

\frac{10}{2 q + 8} = 10

q = - \frac{7}{2}

Decimal Notation

q = - 3.5

Solution steps

\frac{10}{2 q + 8} = 10

Simplify

\frac{10}{2 q + 8} : \frac{5}{q + 4}

\frac{5}{q + 4} = 10

Multiply both sides by

q + 4

5 = 10 (q + 4)

Switch sides

10 (q + 4) = 5

Divide both sides by

10

q + 4 = \frac{1}{2}

Move

4

to the right side

q = - \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

q = - 4

Combine undefined points with solutions:

q = - \frac{7}{2}

\frac{1}{x - 1} + 2 = \frac{5}{x - 1}

x, f (4 t + 2) = \frac{3}{x}

\frac{x}{x - 3} - 2 = \frac{1}{x - 3}

x = \frac{2}{x} + 1

\frac{5}{x + 2} = \frac{1}{3 x - 12}